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Synchronization of Singular Markovian Jumping Neutral Complex Dynamical Networks with Time-Varying Delays via Pinning Control
Acta Mathematica Scientia ( IF 1 ) Pub Date : 2020-05-01 , DOI: 10.1007/s10473-020-0319-y
K. S. Anand , J. Yogambigai , G. A. Harish Babu , M. Syed Ali , S. Padmanabhan

This article discusses the synchronization problem of singular neutral complex dynamical networks (SNCDN) with distributed delay and Markovian jump parameters via pinning control. Pinning control strategies are designed to make the singular neutral complex networks synchronized. Some delay-dependent synchronization criteria are derived in the form of linear matrix inequalities based on a modified Lyapunov-Krasovskii functional approach. By applying the Lyapunov stability theory, Jensen’s inequality, Schur complement, and linear matrix inequality technique, some new delay-dependent conditions are derived to guarantee the stability of the system. Finally, numerical examples are presented to illustrate the effectiveness of the obtained results.

中文翻译:

通过钉扎控制同步具有时变延迟的奇异马尔可夫跳跃中性复杂动力网络

本文通过钉扎控制讨论了具有分布式延迟和马尔可夫跳跃参数的奇异中性复杂动力网络 (SNCDN) 的同步问题。钉扎控制策略旨在使奇异的中性复杂网络同步。基于改进的 Lyapunov-Krasovskii 函数方法,以线性矩阵不等式的形式导出了一些依赖于延迟的同步标准。通过应用Lyapunov稳定性理论、Jensen不等式、Schur补和线性矩阵不等式技术,推导出一些新的时滞相关条件来保证系统的稳定性。最后,给出了数值例子来说明所得结果的有效性。
更新日期:2020-05-01
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